49 citations · 512 across the 60 of their papers we have counts for
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p-Brane Quantum Mechanical Wave Equations
Carlos Castro
Several quantum mechanical wave equations for -branes are proposed based on the role that the volume-preserving diffeomorphisms group has on the physics of extended objects. The…
The Search for the Origins of M Theory : Loop Quantum Mechanics, Loops/Strings and Bulk/Boundary Dualities
Carlos Castro
The construction of a Loop Wave functional equation in a 4D spacetime is attained by introducing a generalized dimensional categorical {\bf C}-space comprised…
q deformation by intertwining with application to the singular oscillator
H. C. Rosu, C. Castro
We present a version of q-deformed calculus based on deformed counterparts of Darboux intertwining operators. The case in which the deformed transformation function is of the vacuu…
W-Geometry from Fedosov's Deformation Quantization
Carlos Castro
A geometric derivation of Gravity based on Fedosov's deformation quantization of symplectic manifolds is presented. To lowest order in Planck's constant it agrees with H…